{"id":149894,"date":"2024-10-08T04:53:59","date_gmt":"2024-10-08T04:53:59","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=149894"},"modified":"2024-10-08T04:54:02","modified_gmt":"2024-10-08T04:54:02","slug":"what-is-the-quotient-of-1-4-divided-by-4","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/10\/08\/what-is-the-quotient-of-1-4-divided-by-4\/","title":{"rendered":"What is the quotient of 1\/4 divided by 4"},"content":{"rendered":"\n<p>What is the quotient of 1\/4 divided by 4<\/p>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\"><strong>The Correct answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n<p>The correct answer is:<mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-3-color\"><strong> {1}{16}<\/strong><\/mark><\/p>\n\n\n\n<p>To find the quotient of ( \\frac{1}{4} ) divided by ( 4 ), we can express the operation as follows:<\/p>\n\n\n\n<p>[<br>\\frac{1}{4} \\div 4<br>]<\/p>\n\n\n\n<p>Dividing by a whole number can be rewritten as multiplying by the reciprocal of that number. The reciprocal of ( 4 ) is ( \\frac{1}{4} ). Therefore, we can convert the division into multiplication:<\/p>\n\n\n\n<p>[<br>\\frac{1}{4} \\div 4 = \\frac{1}{4} \\times \\frac{1}{4}<br>]<\/p>\n\n\n\n<p>Now, we multiply the two fractions:<\/p>\n\n\n\n<p>[<br>\\frac{1 \\times 1}{4 \\times 4} = \\frac{1}{16}<br>]<\/p>\n\n\n\n<p>Thus, the quotient of ( \\frac{1}{4} ) divided by ( 4 ) is ( \\frac{1}{16} ).<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<p>When dividing fractions, it&#8217;s essential to understand the concept of reciprocals. A reciprocal of a number is simply ( \\frac{1}{\\text{number}} ). In this case, since we are dividing by ( 4 ), we take its reciprocal, which is ( \\frac{1}{4} ). This means that instead of dividing ( \\frac{1}{4} ) by ( 4 ), we are effectively scaling ( \\frac{1}{4} ) by how much ( \\frac{1}{4} ) of ( 4 ) is.<\/p>\n\n\n\n<p>The multiplication of two fractions involves multiplying their numerators together and their denominators together. Here, we multiply ( 1 ) (from the first fraction) by ( 1 ) (from the second fraction), resulting in ( 1 ) as the new numerator. In the denominator, ( 4 \\times 4 ) gives us ( 16 ). Therefore, the resulting fraction is ( \\frac{1}{16} ).<\/p>\n\n\n\n<p>In practical terms, if you have a whole (like a pie) and you want to divide it into ( 4 ) equal parts, each part is ( \\frac{1}{4} ). Now, if you take ( 4 ) of those ( \\frac{1}{4} ) pieces, you are taking one of those parts and dividing it into ( 4 ) more equal pieces. This gives you a much smaller piece, which can be represented as ( \\frac{1}{16} ) of the whole pie.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>What is the quotient of 1\/4 divided by 4 The Correct answer and Explanation is : The correct answer is: {1}{16} To find the quotient of ( \\frac{1}{4} ) divided by ( 4 ), we can express the operation as follows: [\\frac{1}{4} \\div 4] Dividing by a whole number can be rewritten as multiplying by [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-149894","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/149894","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=149894"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/149894\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=149894"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=149894"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=149894"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}